2259920 has 80 divisors (see below), whose sum is σ = 5905872. Its totient is φ = 798720.

The previous prime is 2259919. The next prime is 2259937. The reversal of 2259920 is 299522.

2259920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 399424 + 1860496 = 632^2 + 1364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42614 + ... + 42666.

2^2259920 is an apocalyptic number.

2259920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936).

2259920 is an abundant number, since it is smaller than the sum of its proper divisors (3645952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2259920 is a wasteful number, since it uses less digits than its factorization.

2259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 2259920 is about 1503.3030299976. The cubic root of 2259920 is about 131.2293633465.

The spelling of 2259920 in words is "two million, two hundred fifty-nine thousand, nine hundred twenty".